This unique volume is a collection of papers on various problems in astrophysics and cosmology from planetary motion to the arrow of time that are closely linked by the common spirit, technique and methodology of chaos.
Foreword vii The arrow of Time 1(15) I. Prigogine Structre Formation on Scales of Galaxy Clusters and Beyond 16(43) L.-Z. Fang The Complexity of Our Curved Universe 59(17) V. G. Gurzadyan Internal Dynamics of Globular Clusters 76(31) G. Meylan Regular and Chaotic Motion in Galactic Satellites 107(8) J. C. Muzzio D. D. Carpintero F. C. Wachlin Application of Frequency Map Analysis in Galactic Dynamics 115(12) J. Laskar Thermodynamics and Gravitation: From Glasses to Black Holes and Globular Star Clusters 127(16) Th. M. Nieuwenhuizen Astrophysical Fractals: Interstellar Medium and Galaxies 143(30) F. Combes Quantum Decoherence and Time Symmetry Breaking 173(18) T. Petrosky V. Barsegov Large Scale Structure of the Universe: Current Problems 191(14) J. Einasto The Black-Body Spectrum, and the Theory of Dynamical Systems 205(6) A. Carati L. Galgani Searching for Scale-Scale Correlations of Cosmic Temperature Fluctuations 211(7) L.-Z. Fang Arrows of Time and the Anisotropic Properties of CMB 218(11) A. E. Allahverdyan V. G. Gurzadyan Orbital Instability and Relaxation in Stellar Systems 229(18) M. Valluri D. Merritt Alternative Tools to Study Global and Local Dynamics---Application to Galactic Dynamics 247(12) P. M. Cincotta C. Simo Relaxation of One-Body Distribution Function and KS Time in Gravitating Sheet Systems 259(9) T. Tsuchiya N. Gouda Numerical Studies of General Relativistic Dynamical Systems: Symplectic Algorithms with Adaptive Time-Step for ``CRITICAL Hamiltonians 268(10) P. Cipriani M. Di Bari On the Stability of Stellar Systems with Double Massive Centre 278(8) K. M. Bekarian A. A. Melkonian NBODY 6: A New Star Cluster Simulation Code 286(2) S. J. Aarseth ``Bad and ``Nice Properties of Some Models for the Gravitational Lens Theory 288(10) A. F. Zakharov Determination of the Baryon Fraction in Galaxy Clusters 298(11) X.-P. Wu Y.-J. Xue Time Evolution of Orbit Integral Distribution in Gravitating Systems 309(4) I. V. Petrovskaya Chaos in Cosmological Models with a Scalar Field 313(13) A. Yu Kamenshchik I. M. Khalatnikov Chaos and Order in a Finite Universe 326(5) J. D. Barrow J. Levin Problems with Chaos in String Cosmology 331(19) M. P. Dabrowski Chaos in Cosmology 350(5) V. Belinski Aspects of the Chaotic Cosmology 355(12) G. Montani Chaos in Closed Isotropic Cosmological Models with Steep Scalar Field Potential 367(10) A. V. Toporensky Gravitational Waves and Evolution Timescales of Relativistic Clusters 377(2) A. A. Nucita F. De Paolis G. Ingrosso Turbulent Formation of Interstellar Structures and the Connection Between Simulations and Observation 379(15) E. Vazquez-Semadeni Characterization of Molecular Cloud Structure 394(10) V. Ossenkopf F. Bensch J. Stutzki Deterministic Chaos in the Star Formation Rate in the Solar Vicinity 404(10) J. E. Beckman E. Casuso A Gamma Ray Halo Around the Milky Way 414(10) F. De Paolis G. Ingrosso Ph. Jetzer M. Roncadelli Interstellar Chemistry: Radiative Association Reactions Between PAH Cations and Molecules in the Interstellar Medium 424(9) Y. Keheyan Diffusional Radiation in Random Media 433(8) Zh. S. Gevorkian V. V. Hambarian A. A. Akopian Stellar Dynamics and Special-Purpose Computer: Grape Project 441(14) J. Makino Porosities and Dimensions of Measures Satisfying the Double Condition 455(12) J.-P. Eckmann E. Jarvenpaa M. Jarvenpaa Dynamics and Statistics of Simple Models with Infinite-Range Attractive Interaction 467(32) M. Antoni S. Ruffo A. Torcini The Bianchi IX Dynamics: The Geodesic Deviation Equation in Finsler Spaces 499(10) M. Di Bari P. Cipriani Billiard Representation for Multidimensional Cosmology with P-Branes Near the Singularity 509(16) V. D. Ivashchuk V. N. Melnikov Canonical Equations for Nonlinear Gravitational Waves 525(15) G. Ali J. K. Hunter Instability and Relaxation in N-body Systems 540(7) D. Boccaletti G. Pucacco A Scale Invariant Property in the Large Scale Structure Formation 547(10) C. Sigismondi S. Filippi R. Ruffini L. A. Sanchez The Physical Reason of Cut-Off Radius in the Two Point Correlation Function of Galaxies 557(2) C. Sigismondi R. Ruffini Three-Body Chaos 559(9) A. D. Chernin H. J. Lehto M. J. Valtonen P. Heinamaki Slingshot-Escape Condition in the Planar Three-Body Problem 568(11) H. Umehara K. Tanikawa The Comparative Analysis of Dynamic Characteristics of Solar-Terrestrial Processes 579(11) I. G. Kostuchenko S. F. Timashev Dynamical and Thermodynamical Stability in Relativistic Clusters 590(9) M. Meratina Orbital Resonances and the Separatrix Algorithmic Map 599(10) I. I. Shevchenko Chaotic Dynamics of Some Selected Hamiltonian Systems 609(10) V. Lopac Approximate Symmetries, Inhomogeneous Spaces and Gravitaitonal Entropy 619(17) R. Zalaletdinov Quanturm Signature of Large Scale Cosmological Structures 636(10) S. Capozziello S. De Martino S. De Siena F. Illuminati Neutrino Conversions in Solar Random Magnetic Fields 646(10) E. Torrente-Lujan On Alternative Formulations of the Cosmological Principle 656(11) R. Ruffini Author Index 667
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